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Finding the Fourth Proportional to 53,735, 80,606.82 and 16,799

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Solution

The fourth proportional to 53,735, 80,606.82 and 16,799 is: 25,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,735 : 80,606.82 = 16,799 : x
  2. Step 2: Convert to fraction form
    53,735/80,606.82 = 16,799/x
  3. Step 3: Cross multiply
    53,735x = 80,606.82 × 16,799
  4. Step 4: Simplify right side
    53,735x = 1,354,113,969.18
  5. Step 5: Solve for x
    x = 1,354,113,969.18/53,735
  6. Step 6: Final answer
    x = 25,199.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.